Trigonometry: Finding the Angle of a Trapezium

Trigonometry: Finding the Angle of a Trapezium

Assessment

Interactive Video

Mathematics

10th - 12th Grade

Hard

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The video tutorial explains how to find the size of angle X in a trapezium by splitting it into a triangle and a rectangle. It uses trigonometry, specifically the tangent function, to calculate angle Y in the triangle. The final angle X is determined by adding angle Y to the right angle. The tutorial also discusses the allocation of marks for solving the problem.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step to calculate the missing angle X in the trapezium?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you label the unknown angle in the triangle formed from the trapezium?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the height of the right-angled triangle in centimeters?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the base of the triangle from the trapezium's dimensions?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What trigonometric function is used to find the angle Y in the triangle?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final value of angle X after rounding to one decimal place?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the key steps to solve for angle X in the trapezium problem?

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